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4

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

A. β/2

B. 30° + β/2

C. 45° + β/2

D. 60° + β/2

Correct Answer :

C. 45° + β/2


Related Questions

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4

The ratio of limiting friction and normal reaction is known as

A. Coefficient of friction

B. Angle of friction

C. Angle of repose

D. Sliding friction

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4

The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

A. t = g cos β/2u sin (α - β)

B. t = 2u sin (α - β)/g cos β

C. t = g cos β/2u sin (α + β)

D. t = 2u sin (α + β)/g cos β

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4

Concurrent forces are those forces whose lines of action

A. Lie on the same line

B. Meet at one point

C. Meet on the same plane

D. None of these

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4

In the shown figure, the tension (T) in the string will be

A. m₁. m₂. g/(m₁ + m₂)

B. 2m₁. m₂. g/(m₁ + m₂)

C. (m₁ + m₂)/ m₁. m₂. g

D. (m₁ + m₂)/2m₁. m₂. g

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4

The range of projectile (R) on an upward inclined plane is

A. g. cos² β/2u². sin (α + β). cos α

B. 2u². sin (α + β). cos α/g. cos² β

C. g. cos² β/2u². sin (α - β). cos α

D. 2u². sin (α - β). cos α/g. cos² β

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4

In order to completely specify angular displacement by a vector, it must fix

A. Direction of the axis of rotation

B. Magnitude of angular displacement

C. Sense of angular displacement

D. All of these

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4

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is μ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A. Remain horizontal

B. Slant up towards direction of pull

C. Slant down towards direction of pull

D. None of the above

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4

The moment of inertia of a solid sphere of mass m and radius r is

A. 2mr2/3

B. 2mr2/5

C. mr2

D. mr2/2

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4

When trying to turn a key into a lock, following is applied

A. Coplanar force

B. Non-coplanar forces

C. Moment

D. Couple

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4

A particle moves along a straight line such that distance (x) traversed in t seconds is given by x = t² (t - 4), the acceleration of the particle will be given by the equation

A. 6t² - 8t

B. 3t² + 2t

C. 6f - 8

D. 6f - 4

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4

One watt is equal to

A. 0.1 joule/s

B. 1 joule/s

C. 10 joules/s

D. 100 joules/s

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4

Forces are called concurrent when their lines of action meet in

A. One point

B. Two points

C. Plane

D. Perpendicular planes

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4

From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate

A. 0.5 cm

B. 1.0 cm

C. 1.5 cm

D. 2.5 cm

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4

The acceleration of a particle moving with simple harmonic motion is __________ at the mean position.

A. Zero

B. Minimum

C. Maximum

D. None of these

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4

The energy possessed by a body, for doing work by virtue of its position, is called

A. Potential energy

B. Kinetic energy

C. Electrical energy

D. Chemical energy

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4

When two elastic bodies collide with each other,

A. The two bodies will momentarily come to rest after collision

B. The two bodies tend to compress and deform at the surface of contact

C. The two bodies begin to regain their original shape

D. All of the above

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4

The C.G. of a plane lamina will not be at its geometrical centre in the case of a

A. Right angled triangle

B. Equilateral triangle

C. Square

D. Circle

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4

The algebraic sum of moments of the forces forming couple about any point in their plane is

A. Equal to the moment of the couple

B. Constant

C. Both of above are correct

D. Both of above are wrong

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4

Angle of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

C. The ratio of minimum friction force to the friction force acting when the body is just about to move

D. The ratio of minimum friction force to friction force acting when the body is in motion

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4

Which of the following are vector quantities?

A. Angular displacement

B. Angular velocity

C. Angular acceleration

D. All of these

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4

In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

A. Less than

B. Equal to

C. More than

D. None of these

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4

Work done is said to be zero, when

A. Some force acts on a body, but displacement is zero

B. No force acts on a body but some displacement takes place

C. Either (A) or (B)

D. None of the above

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4

The unit of force in S.I. units is

A. kilogram

B. Newton

C. Watt

D. Dyne

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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

A. bh3/4

B. bh3/8

C. bh3/12

D. bh3/36

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4

If u1 and u2 are the velocities of two moving bodies in the same direction before impact and v1 and v2 are their velocities after impact, then coefficient of restitution is given by

A. (v1 - v2)/(u1 - u2)

B. (v₂ - v₁)/(u1 - u2)

C. (u1 - u2)/(v1 - v2)

D. (u₂ + u₁)/(v₂ + v₁)

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4

When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

A. Simple pendulum

B. Compound pendulum

C. Torsional pendulum

D. Second's pendulum

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4

The velocity ratio of a first system of pulleys with 4 pulleys is

A. 4

B. 8

C. 16

D. 20

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4

The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m

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4

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

A. Circular arc

B. Parabola

C. Hyperbola

D. Elliptical

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4

The ideal angle of banking provided on the curves on roads depends upon

A. Weight of the vehicle

B. (Velocity)2 of the vehicle

C. Nature of the road surface

D. Coefficient of friction between the road and vehicle contact point